Emilia has a bag of colored marbles. the bag contains the same ratio of red marbles to blue marbles as the ratio of green marbles to orange marbles. she has 18 red marbles, 48 blue marbles, and 12 green marbles. how many orange marbles are in the bag? a. 32 b. 28 c. 5 d. 72

(a) 32 orange marbles

the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )

the ratio of green : orange = 3 : 8 ( equal ratio )

divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles

3 parts → 12

8 parts → 12 × = 32 orange marbles

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol